13609 ÷ 8 = 1701 R1
We're going to perform division on 13609 with 8 as the divisor.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Step 2:
8 goes into 13 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 13 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 8

Step 3:
8 goes into 56 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 56 from 56 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 8

Step 4:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 170
Subtract 0 from 0 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 8

Step 5:
8 goes into 9 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1701
Subtract 8 from 9 to get 1.

The final result is 1701 with a remainder of 1.